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We propose a novel framework to study viral spreading processes in metapopulation models. Large subpopulations (i.e., cities) are connected via metalinks (i.e., roads) according to a metagraph structure (i.e., the traffic infrastructure).…

Physics and Society · Physics 2013-08-20 Victor M. Preciado , Michael Zargham

Transferring the state of a quantum system to a given distribution of populations is an important problem with applications to Quantum Chemistry and Atomic Physics. In this work we consider exact population transfers that minimize the L^2…

Quantum Physics · Physics 2007-05-23 Symeon Grivopoulos , Bassam Bamieh

A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The…

Classical Analysis and ODEs · Mathematics 2013-11-14 Bruno Buonomo

Motivated by the issue of COVID-19 mitigation, in this work we tackle the general problem of optimally controlling an epidemic outbreak of a communicable disease structured by time since exposure, by the aid of two types of control…

Populations and Evolution · Quantitative Biology 2024-05-13 Alberto d'Onofrio , Mimmo Iannelli , Piero Manfredi , Gabriela Marinoschi

In this paper we introduce the optimal control of a kinetic model describing agents who migrate on a graph and interact within its nodes exchanging a physical quantity. As a prototype model, we consider the spread of an infectious disease…

Optimization and Control · Mathematics 2026-01-15 Jonathan Franceschi , Nadia Loy

The sterile insect technique consists in massive release of sterilized males in the aim to reduce the size of mosquitoes population or even eradicate it. In this work, we investigate the feasability of using the sterile insect technique as…

Analysis of PDEs · Mathematics 2020-05-26 Luis Almeida , Jorge Estrada , Nicolas Vauchelet

In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-pharmaceutical intervention methods are implemented, but a…

Analysis of PDEs · Mathematics 2025-02-11 Marcelo Bongarti , Christian Parkinson , Weinan Wang

There is a pressing need to better understand how microbial populations respond to antimicrobial drugs, and to find mechanisms to possibly eradicate antimicrobial-resistant cells. The inactivation of antimicrobials by resistant microbes can…

Populations and Evolution · Quantitative Biology 2023-11-16 Lluís Hernández-Navarro , Matthew Asker , Alastair M. Rucklidge , Mauro Mobilia

Formation control problem is one of the most concerned topics within the realm of swarm intelligence, which is usually solved by conventional mathematical approaches. In this paper, however, we presents a metaheuristic approach that…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Junda Chen

We introduce a nonlinear structured population model with diffusion in the state space. Individuals are structured with respect to a continuous variable which represents a pathogen load. The class of uninfected individuals constitutes a…

Analysis of PDEs · Mathematics 2019-03-25 Angel Calsina , Jozsef Z. Farkas

In this paper we consider a stochastic deployment problem, where a robotic swarm is tasked with the objective of positioning at least one robot at each of a set of pre-assigned targets while meeting a temporal deadline. Travel times and…

Robotics · Computer Science 2015-11-24 Yin-Lam Chow , Marco Pavone , Brian M. Sadler , Stefano Carpin

Swarm robot systems, which consist of many cooperating mobile robots, have attracted attention for their environmental adaptability and fault tolerance advantages. One of the most important tasks for such systems is coverage control, in…

Optimization and Control · Mathematics 2020-11-18 Daisuke Inoue , Yuji Ito , Hiroaki Yoshida

Background As more regions approach malaria elimination, understanding how different interventions interact to reduce transmission becomes critical. The Lake Kariba area of Southern Province, Zambia, is part of a multi-country elimination…

Controlling large swarms of robotic agents has many challenges including, but not limited to, computational complexity due to the number of agents, uncertainty in the functionality of each agent in the swarm, and uncertainty in the swarm's…

Systems and Control · Computer Science 2018-10-02 Bryce Doerr , Richard Linares

This paper addresses a nonlinear partial differential control system arising in population dynamics. The system consist of three diffusion equations describing the evolutions of three biological species: prey, predator, and food for the…

Analysis of PDEs · Mathematics 2021-04-20 Sergey A. Timoshin , Chen Bin

Malaria control strategies aiming at reducing disease transmission intensity may impact both oocyst intensity and infection prevalence in the mosquito vector. Thus far, mathematical models failed to identify a clear relationship between…

Statistics Theory · Mathematics 2011-02-24 Robin Genuer , Isabelle Morlais , Wilson Toussile

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instantaneous control approach to steer an interacting particle…

Optimization and Control · Mathematics 2020-01-29 Martin Burger , Rene Pinnau , Claudia Totzeck , Oliver Tse , Andreas Roth

Even as the incidence of mosquito-borne diseases like West Nile Virus (WNV) in North America has risen over the past decade, effectively modelling mosquito population density or, the abundance has proven to be a persistent challenge. It is…

Populations and Evolution · Quantitative Biology 2024-09-19 Suman Bhowmick , Patrick Irwin , Kristina Lopez , Megan Lindsay Fritz , Rebecca Lee Smith

We design a distributed feedback optimization strategy, embedded into a modular ROS 2 control architecture, which allows a team of heterogeneous robots to cooperatively monitor and encircle a target while patrolling points of interest.…

Robotics · Computer Science 2024-10-01 Lorenzo Pichierri , Guido Carnevale , Lorenzo Sforni , Giuseppe Notarstefano
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